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deff fn [24]
3 years ago
11

A 10-foot ladder is learning against wall. The base of the ladder is 2 feet from the base of the building. How far up the buildi

ng does the ladder fall?
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

4\sqrt{6} feet

Step-by-step explanation:

<u>Step 1:  Make an equation to represent the scenario </u>

a^2 + b^2 = c^2

(2)^2 + b^2 = (10)^2

4 + b^2 - 4 = 100 - 4

b^2 = 96

<u>Step 2:  Square root both sides </u>

<u />\sqrt{b^2} = \sqrt{96}

b = \sqrt{4^2*6}

b=4\sqrt{6}

Answer:  4\sqrt{6} feet

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